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A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory by Bangming Deng, Jie Du, Qiang Fu is a nonfiction available to read on EtoBox.

What is A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory about?

The theory of Schur-Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur-Weyl theory. To begin, various algebraic structures are discussed, including double Ringel-Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur-Weyl duality on three levels. This includes the affine quantum Schur-Weyl reciprocity, the bridging role of affine q-Schur algebras between representations of the quantum loop algebras and those of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel-Hall algebra with a proof of the classical case. This text is ideal for researchers in algebra and graduate students who want to master Ringel-Hall algebras and Schur-Weyl duality.

Who reads A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory?

Author

Bangming Deng, Jie Du, Qiang Fu

Publisher

Cambridge University Press

Published

2013

Language

EN

ISBN

9781607092063

Category

nonfiction

Subjects

Psychology, Education, Mathematics